Results 221 to 230 of about 164,877 (270)

PERIODIC SOLUTIONS OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

Journal of the London Mathematical Society, 2002
The paper concerns the existence, uniqueness and global attractivity of periodic solutions to neutral functional-differential equations with monotone semiflows. The proofs are based on the theory established by Wu and Freedman for monotone semiflow generated by neutral functional-differential equations and Krasnosel'skii's fixed-point theorem.
Lianglong Wang, Zhicheng Wang, Xingfu Zou   +2 more
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POSITIVE SOLUTIONS OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

Acta Mathematica Scientia, 1996
The paper contains sufficient conditions under which the neutral functional differential equation \[ {d\over dx} \left[ x(t)+ \int^t_c x(s)+ d_s \mu(t,s) \right] +\int^t_c f\bigl( t,x(s) \bigr) d_s n(t,s) =0,\;t>t_0\leq c \tag{1} \] has a positive solution on \([c,+\infty)\). The following examples are based on his two theorems. The equation \[ {d\over
Zhenxun Huang, Guozhu Gao
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Strong stabilization of neutral functional differential equations

IMA Journal of Mathematical Control and Information, 2002
Feedback stabilization of a particular type of neutral ordinary differential equations (ODEs) with constant delays is studied by an abstract method, claimed to be `unifying'. In the systems in question, the velocity depends on the past velocity and on external inputs. It depends neither on the past acceleration nor on any constraint.
Sjoerd M. Verduyn Lunel, Jack K. Hale
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Neutral Functional Differential Equations

1999
The present chapter contains some remarks and ideas concerning application of i—smooth calculus to functional differential equations of neutral type. Taking into account essential features of neutral functional differential equations (NFDE) subsequent elaboration of these aspects requires additional investigating properties of invariant differentiable ...
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A Neutral Functional Differential Equation of Lurie Type

SIAM Journal on Mathematical Analysis, 1980
The problem of Lurie is posed for systems described by a functional differential equation of neutral type. Sufficient conditions are obtained for absolute stability for the controlled system if it is assumed that the uncontrolled plant equation is uniformly asymptotically stable. Both the direct and indirect control cases are treated.
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Periodic solutions of neutral functional differential equations

Journal of Differential Equations, 2023
S. Afonso, E. Bonotto, M. R. Da Silva
semanticscholar   +1 more source

Existence, uniqueness and stability of impulsive stochastic neutral functional differential equations driven by Rosenblatt process with varying-time delays

, 2019
Hermite processes are self-similar processes with stationary increments; the Hermite process of order 1 is fractional Brownian motion (fBm) and the Hermite process of order 2 is the Rosenblatt process.
E. Lakhel, A. Tlidi
semanticscholar   +1 more source

Periodicity of Solutions for Non-Autonomous Neutral Functional Differential Equations with State-Dependent Delay

Journal of Dynamics and Differential Equations, 2021
Jianbo Zhu, Xianlong Fu
semanticscholar   +1 more source

Oscillations of mixed neutral functional differential equations

Applied Mathematics and Computation, 1995
Some sufficient conditions for the oscillation of solutions of mixed neutral functional differential equations of the form \({d^n \over dt^n} (x(t) + cx (t - h) + Cx (t + H)) + qx(t - g) + Qx(t + G) = 0\) where \(c,C,G,h\) and \(H\) are real constants, and \(q\) and \(Q\) are nonnegative real constants, are established.
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Semigroups Generated by a Neutral Functional Differential Equation

SIAM Journal on Mathematical Analysis, 1986
We discuss a number of semigroups generated by neutral functional equations of the form \[ d/dt(x(t)+\mu *x(t))+\nu *x(t)=f(t),\quad t\geq 0,\quad x(t)=\phi (t),\quad t\leq 0. \] They are of extended initial function type and of extended forcing function type, and they differ from each other by the amount of smoothness which is imposed on x and f above.
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